# Reduced Fracture Finite Element Model Analysis of an Efficient Two-Scale Hybrid Embedded Fracture Model

Handle URI:
http://hdl.handle.net/10754/625064
Title:
Reduced Fracture Finite Element Model Analysis of an Efficient Two-Scale Hybrid Embedded Fracture Model
Authors:
Amir, Sahar Z.; Chen, Huangxin; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
A Hybrid Embedded Fracture (HEF) model was developed to reduce various computational costs while maintaining physical accuracy (Amir and Sun, 2016). HEF splits the computations into fine scale and coarse scale. Fine scale solves analytically for the matrix-fracture flux exchange parameter. Coarse scale solves for the properties of the entire system. In literature, fractures were assumed to be either vertical or horizontal for simplification (Warren and Root, 1963). Matrix-fracture flux exchange parameter was given few equations built on that assumption (Kazemi, 1968; Lemonnier and Bourbiaux, 2010). However, such simplified cases do not apply directly for actual random fracture shapes, directions, orientations …etc. This paper shows that the HEF fine scale analytic solution (Amir and Sun, 2016) generates the flux exchange parameter found in literature for vertical and horizontal fracture cases. For other fracture cases, the flux exchange parameter changes according to the angle, slop, direction, … etc. This conclusion rises from the analysis of both: the Discrete Fracture Network (DFN) and the HEF schemes. The behavior of both schemes is analyzed with exactly similar fracture conditions and the results are shown and discussed. Then, a generalization is illustrated for any slightly compressible single-phase fluid within fractured porous media and its results are discussed.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division
Citation:
Amir SZ, Chen H, Sun S (2017) Reduced Fracture Finite Element Model Analysis of an Efficient Two-Scale Hybrid Embedded Fracture Model. Procedia Computer Science 108: 1873–1882. Available: http://dx.doi.org/10.1016/j.procs.2017.05.052.
Publisher:
Elsevier BV
Journal:
Procedia Computer Science
Issue Date:
9-Jun-2017
DOI:
10.1016/j.procs.2017.05.052
Type:
Article
ISSN:
1877-0509
King Abdullah University of Science and Technology (KAUST) funding supported the research reported in this publication.
http://www.sciencedirect.com/science/article/pii/S1877050917305835
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

DC FieldValue Language
dc.contributor.authorAmir, Sahar Z.en
dc.contributor.authorChen, Huangxinen
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2017-06-19T09:21:46Z-
dc.date.available2017-06-19T09:21:46Z-
dc.date.issued2017-06-09en
dc.identifier.citationAmir SZ, Chen H, Sun S (2017) Reduced Fracture Finite Element Model Analysis of an Efficient Two-Scale Hybrid Embedded Fracture Model. Procedia Computer Science 108: 1873–1882. Available: http://dx.doi.org/10.1016/j.procs.2017.05.052.en
dc.identifier.issn1877-0509en
dc.identifier.doi10.1016/j.procs.2017.05.052en
dc.identifier.urihttp://hdl.handle.net/10754/625064-
dc.description.abstractA Hybrid Embedded Fracture (HEF) model was developed to reduce various computational costs while maintaining physical accuracy (Amir and Sun, 2016). HEF splits the computations into fine scale and coarse scale. Fine scale solves analytically for the matrix-fracture flux exchange parameter. Coarse scale solves for the properties of the entire system. In literature, fractures were assumed to be either vertical or horizontal for simplification (Warren and Root, 1963). Matrix-fracture flux exchange parameter was given few equations built on that assumption (Kazemi, 1968; Lemonnier and Bourbiaux, 2010). However, such simplified cases do not apply directly for actual random fracture shapes, directions, orientations …etc. This paper shows that the HEF fine scale analytic solution (Amir and Sun, 2016) generates the flux exchange parameter found in literature for vertical and horizontal fracture cases. For other fracture cases, the flux exchange parameter changes according to the angle, slop, direction, … etc. This conclusion rises from the analysis of both: the Discrete Fracture Network (DFN) and the HEF schemes. The behavior of both schemes is analyzed with exactly similar fracture conditions and the results are shown and discussed. Then, a generalization is illustrated for any slightly compressible single-phase fluid within fractured porous media and its results are discussed.en
dc.description.sponsorshipKing Abdullah University of Science and Technology (KAUST) funding supported the research reported in this publication.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S1877050917305835en
dc.subjectDiscrete Fracture Network (DFN)en
dc.subjecttwo-scaleen
dc.subjecthybrid methoden
dc.subjectmatrix-fracture flux exchangeen
dc.titleReduced Fracture Finite Element Model Analysis of an Efficient Two-Scale Hybrid Embedded Fracture Modelen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalProcedia Computer Scienceen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionXiamen University, School of Mathematical Sciences, Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Scientific Computing, Fujian, 361005, Chinaen
kaust.authorAmir, Sahar Z.en
kaust.authorSun, Shuyuen